Given numbers are 264,328,269,235

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 264,328,269,235 is 684239160.

Find LCM of 264,328,269,235 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 33 x 41 x 269 x 235 = 684239160

Therefore, the lowest common multiple of 264,328,269,235 is 684239160.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

264 x 328 x 269 x 235 = 5473913280

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

328 : 1, 2, 4, 8, 41, 82, 164, 328

269 : 1, 269

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,328,269,235, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

328:2x 2x 2x 41

269:269

235:5x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5473913280/(1x8)

LCM = 5473913280/8

LCM = 684239160

Thus, we can understand that the LCM of 264,328,269,235 is 684239160.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 909, 981, 188, 757
• LCM of 675, 826, 144, 664
• LCM of 661, 864, 437, 748
• LCM of 332, 356, 982, 999
• LCM of 818, 606, 371, 287

1. What is the LCM of 264, 328, 269, 235?

Answer: LCM of 264, 328, 269, 235 is 684239160.

2. How to calculate the LCM of 264, 328, 269, 235?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 264, 328, 269, 235.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.